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# Curvy Cubics

**This is an Underground Mathematics resource.**

*Underground Mathematics is hosted by Cambridge Mathematics. The project was originally funded by a grant from the UK Department for Education to provide free web-based resources that support the teaching and learning of post-16 mathematics.*

*Visit the site at undergroundmathematics.org to find more resources, which also offer suggestions, solutions and teacher notes to help with their use in the classroom.*

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Age 16 to 18

Challenge Level

- Problem
- Student Solutions

What gives a cubic curve its curves?

Can you form an equation for the cubic curve shown here?

**If a curve has no stationary points, what does that tell you about its gradient function?**

**Does that help you to determine an equation for this graph?**